Lesson Worksheet: Triangles and Coordinate Proofs Mathematics
In this worksheet, we will practice finding the vertices and side lengths of a triangle on the coordinate plane and using them to write a coordinate proof.
Q1:
Give the coordinates of the vertices , , and .
- A, ,
- B, ,
- C, ,
- D, ,
- E, ,
Q2:
Give the coordinates of the vertices and .
- A
- B
- C
- D
- E
Q3:
An isosceles triangle has vertices , , and . Find the length of the line segment drawn from to which is perpendicular to .
- A length units
- B length units
- C length units
- D length units
Q4:
A triangle is drawn in the coordinate plane with its vertices at , , and .
Find the length of the base .
Find the height of the triangle.
Hence, find the area of the triangle.
- A12.5 square units
- B25 square units
- C6.25 square units
- D10 square units
- E22.5 square units
Q5:
Given that is an isosceles triangle, where the coordinates of the points , , and are , , and , find the area of .
Q6:
A triangle has vertices at the points , , and with coordinates , , and respectively.
Work out the perimeter of the triangle . Give your solution to two decimal places.
Work out the area of the triangle .
Q7:
A triangle has vertices at the points , , and with coordinates , , and respectively.
Work out the perimeter of the triangle . Give your solution to one decimal place.
By drawing a rectangle through the vertices of the triangle, or otherwise, work out the area of the triangle .
Q8:
A triangle has vertices at the points , , and with coordinates , , and respectively. Work out the area of the triangle .
Q9:
A triangle has vertices at the points , , and with coordinates , , and respectively. Work out the perimeter of the triangle . Give your solution to two decimal places.
Q10:
Find the length of the base of Triangle B.
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